Question

Leo, Kush and Mai share some money in the ratio 3:5:8

Answer 1

Answer:

The total amount of money that they shared is $\£6,000$

Step-by-step explanation:

Let

x-----> amount of money Leo shares

y-----> amount of money Kush shares

z-----> amount of money Mai shares

we know that

$\frac{x}{y} =\frac{3}{5}$

$x=\frac{3}{5}y$ -----> equation A

$\frac{y}{z} =\frac{5}{8}$

$z=\frac{8}{5}y$ -----> equation B

$\frac{x}{z} =\frac{3}{8}$

$z=\frac{8}{3}x$ -----> equation C

$y=x+750$ ------> equation D

substitute equation A in equation D and solve for y

$y=\frac{3}{5}y+750$

$y-\frac{3}{5}y=750$

$\frac{2}{5}y=750$

$y=750*5/2=\£1,875$

Find the value of x (equation A)

$x=\frac{3}{5}(1,875)=\£1,125$

Find the value of z (equation C)

$z=\frac{8}{3}(1,125)=\£3,000$

therefore

The total amount of money is equal to

$x+y+z=\£1,125+\£1,875+\£3,000=\£6,000$